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QB_DCE_Anuj part 2
1. -:8
UNIT -3
]. Find the STM cp(k) fOrthe fonawing cases.
A - 0 '
Q)A= [: -:.J ) a:,' )
[ o'S I
J
2. Find the characteristic equation of the ~ t;Y6f-em
-) ) O
I} = D- ,
[- D'S0 . J .:J / - [ , J
J)~ [0 1]
3. Decompose The:fol1u"img transit:, function by direct decomposition and draw the state
..
diagram
(2 + () 'S-) C(2)
- 73 + ~22 + Z +O'S- «(z)
4. Write the stale ('(1 <u: and output equations of the following difference equations
U2~
Ctj ~ (JH:) + S ~ lk. t iJ -+ '3~ lk+JJ l' :2 ~ (ft) '= -Ul.Jl.)
bJ ~ ~ c.Jtt 9) + :J.c LA +2)- ~ CAtI) 1- C Ck) -= ~ LtLk)
5. Gwen the stat" eOL",';ur) ( n di!,ptal control system as
'X,tl'tttl) ~ :>l)... it)
L
"''- (J~ T I) = )(.3 0.)
><3 Lk+1) :::
~, LtXl.LJt) + 0 <~ )(,3(J.2.)+ llt~)
Find the eigf'nv~' a, j "ifiTe:', l1i:I.~ ,~igenvactors
![-:8
UNIT -3
]. Find the STM cp(k) fOrthe fonawing cases.
A - 0 '
Q)A= [: -:.J ) a:,' )
[ o'S I
J
2. Find the characteristic equation of the ~ t;Y6f-em
-) ) O
I} = D- ,
[- D'S0 . J .:J / - [ , J
J)~ [0 1]
3. Decompose The:fol1u"img transit:, function by direct decomposition and draw the state
..
diagram
(2 + () 'S-) C(2)
- 73 + ~22 + Z +O'S- «(z)
4. Write the stale ('(1 <u: and output equations of the following difference equations
U2~
Ctj ~ (JH:) + S ~ lk. t iJ -+ '3~ lk+JJ l' :2 ~ (ft) '= -Ul.Jl.)
bJ ~ ~ c.Jtt 9) + :J.c LA +2)- ~ CAtI) 1- C Ck) -= ~ LtLk)
5. Gwen the stat" eOL",';ur) ( n di!,ptal control system as
'X,tl'tttl) ~ :>l)... it)
L
"''- (J~ T I) = )(.3 0.)
><3 Lk+1) :::
~, LtXl.LJt) + 0 <~ )(,3(J.2.)+ llt~)
Find the eigf'nv~' a, j "ifiTe:', l1i:I.~ ,~igenvactors](https://image.slidesharecdn.com/10372212-111128140228-phpapp01/85/QB_DCE_Anuj-part-2-1-320.jpg)
